20130404310 has 192 divisors, whose sum is σ = 59971871232. Its totient is φ = 4832441856.

The previous prime is 20130404263. The next prime is 20130404339. The reversal of 20130404310 is 1340403102.

20130404310 is a `hidden beast` number, since 201 + 30 + 4 + 0 + 431 + 0 = 666.

It is a super-2 number, since 2×20130404310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 939537 + ... + 960723.

It is an arithmetic number, because the mean of its divisors is an integer number (312353496).

Almost surely, 2^20130404310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130404310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29985935616).

20130404310 is an abundant number, since it is smaller than the sum of its proper divisors (39841466922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20130404310 is a wasteful number, since it uses less digits than its factorization.

20130404310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21249 (or 21237 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20130404310 its reverse (1340403102), we get a palindrome (21470807412).

The spelling of 20130404310 in words is "twenty billion, one hundred thirty million, four hundred four thousand, three hundred ten".